Finding the Third Proportional to 189,416.25 and 294,084

Step by Step Solution

1. Step 1: Write the proportion equation
   189,416.25 : 294,084 = 294,084 : x
2. Step 2: Convert to fraction form
   189,416.25/294,084 = 294,084/x
3. Step 3: Cross multiply
   189,416.25x = 294,084 × 294,084
4. Step 4: Simplify right side
   189,416.25x = 86,485,399,056
5. Step 5: Solve for x
   x = 86,485,399,056/189,416.25
6. Step 6: Final answer
   x = 456,589.12